{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,11]],"date-time":"2025-11-11T12:37:36Z","timestamp":1762864656547},"reference-count":21,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[1988,4,1]],"date-time":"1988-04-01T00:00:00Z","timestamp":575856000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Performance Evaluation"],"published-print":{"date-parts":[[1988,4]]},"DOI":"10.1016\/0166-5316(88)90015-6","type":"journal-article","created":{"date-parts":[[2003,8,8]],"date-time":"2003-08-08T02:10:42Z","timestamp":1060308642000},"page":"77-91","source":"Crossref","is-referenced-by-count":18,"title":["Mean Value Analysis Approximation for multiple server queueing networks"],"prefix":"10.1016","volume":"8","author":[{"given":"Ian F","family":"Akyildiz","sequence":"first","affiliation":[]},{"given":"Gunter","family":"Bolch","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/0166-5316(88)90015-6_BIB1","article-title":"Mean value analysis for closed queueing networks with Erlang service time distributions","author":"Akyildiz","year":"1988","journal-title":"The Comput. J."},{"key":"10.1016\/0166-5316(88)90015-6_BIB2","series-title":"4th Internat. Symp. on Modeling and Performance Evaluation of Computer Systems, Vol. 1","article-title":"Some extensions to multiclass queueing network analysis","author":"Bard","year":"1979"},{"key":"10.1016\/0166-5316(88)90015-6_BIB3","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/0166-5316(84)90010-5","article-title":"Mean value analysis of mixed, multiple class BCMP networks with load dependent-service stations","volume":"4","author":"Bruell","year":"1984","journal-title":"Performance Evaluation"},{"issue":"2","key":"10.1016\/0166-5316(88)90015-6_BIB4","doi-asserted-by":"crossref","first-page":"126","DOI":"10.1145\/358396.358403","article-title":"Linearizer: A heuristic algorithm for queueing network models of computing systems","volume":"25","author":"Chandy","year":"1982","journal-title":"Comm. ACM"},{"key":"10.1016\/0166-5316(88)90015-6_BIB5","article-title":"Heuristic Iterative Mean Value Analysis: Evaluation of Some Issues","author":"Heinselman","year":"1983"},{"issue":"2","key":"10.1016\/0166-5316(88)90015-6_BIB6","doi-asserted-by":"crossref","first-page":"1178","DOI":"10.1145\/214419.214423","article-title":"A tree-structured mean value analysis algorithm","volume":"4","author":"Hoyme","year":"1986","journal-title":"ACM Trans. Comput. Systems"},{"key":"10.1016\/0166-5316(88)90015-6_BIB7","series-title":"ACM SIGMETRICS Conf. Proc.","first-page":"41","article-title":"Improved linearizer methods for queueing networks with queue dependent centers","author":"Krzesinski","year":"1984"},{"key":"10.1016\/0166-5316(88)90015-6_BIB8","doi-asserted-by":"crossref","first-page":"1048","DOI":"10.2307\/3213214","article-title":"Stationary state probabilities at arrival instants for closed queueing networks with multiple types of customers","volume":"17","author":"Lavenberg","year":"1980","journal-title":"J. Appl. Probab."},{"issue":"3","key":"10.1016\/0166-5316(88)90015-6_BIB9","doi-asserted-by":"crossref","first-page":"383","DOI":"10.1287\/opre.9.3.383","article-title":"A proof for the queueing formula L = \u03bbW","volume":"9","author":"Little","year":"1961","journal-title":"Oper. Res."},{"key":"10.1016\/0166-5316(88)90015-6_BIB10","first-page":"59","article-title":"SCAT: A heuristic algorithm for queueing network models of computing systems","volume":"10","author":"Neuse","year":"1981"},{"key":"10.1016\/0166-5316(88)90015-6_BIB11","series-title":"4th Internat. Symp. on Modeling and Performance Evaluation of Computer Systems, Vol. I","article-title":"Mean value analysis of queueing networks: A new look at an old problem","author":"Reiser","year":"1979"},{"key":"10.1016\/0166-5316(88)90015-6_BIB12","doi-asserted-by":"crossref","first-page":"1199","DOI":"10.1109\/TCOM.1979.1094531","article-title":"A queueing network analysis of computer communication networks with window flow control","volume":"COM-27","author":"Reiser","year":"1979","journal-title":"IEEE Trans. Comm."},{"issue":"2","key":"10.1016\/0166-5316(88)90015-6_BIB13","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1145\/322186.322195","article-title":"Mean value analysis of closed multichain queueing networks","volume":"27","author":"Reiser","year":"1980","journal-title":"J. ACM"},{"issue":"1","key":"10.1016\/0166-5316(88)90015-6_BIB14","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/0166-5316(81)90040-7","article-title":"Mean value analysis and convolution method for queueing dependent servers in closed queueing networks","volume":"1","author":"Reiser","year":"1981","journal-title":"Performance Evaluation"},{"key":"10.1016\/0166-5316(88)90015-6_BIB15","series-title":"Internat. Conf. on Stochastic Control and Optimization","article-title":"Approximate analysis of multiclass closed networks of queues","author":"Schweitzer","year":"1979"},{"issue":"2","key":"10.1016\/0166-5316(88)90015-6_BIB16","doi-asserted-by":"crossref","first-page":"358","DOI":"10.1145\/322248.322257","article-title":"The distribution of queueing network states at input and output instances","volume":"28","author":"Sevcik","year":"1981","journal-title":"J. ACM"},{"key":"10.1016\/0166-5316(88)90015-6_BIB17","series-title":"Proc. Performance and ACM SIGMETRICS 86 Joint Conf.","first-page":"129","article-title":"A generalization of mean value analysis to higher moments: Moment analysis","author":"Strelen","year":"1986"},{"key":"10.1016\/0166-5316(88)90015-6_BIB18","first-page":"80","article-title":"A solution of separable queueing network models using mean value analysis","volume":"10","author":"Zahorjan","year":"1981"},{"issue":"3","key":"10.1016\/0166-5316(88)90015-6_BIB19","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1145\/1031382.809313","article-title":"Incorporating load dependent servers in approximate mean value analysis","volume":"12","author":"Zahorjan","year":"1984","journal-title":"ACM SIGMETRICS Conf."},{"issue":"1","key":"10.1016\/0166-5316(88)90015-6_BIB20","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1145\/357353.357359","article-title":"Computational algorithms for state-dependent queueing networks","volume":"1","author":"Sauer","year":"1983","journal-title":"ACM Trans. Comput."},{"issue":"3","key":"10.1016\/0166-5316(88)90015-6_BIB21","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0166-5316(85)90012-4","article-title":"The tree MVA algorithm","volume":"5","author":"Tucci","year":"1985","journal-title":"Performance Evaluation"}],"container-title":["Performance Evaluation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166531688900156?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:0166531688900156?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,14]],"date-time":"2019-03-14T20:56:59Z","timestamp":1552597019000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/0166531688900156"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1988,4]]},"references-count":21,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1988,4]]}},"alternative-id":["0166531688900156"],"URL":"https:\/\/doi.org\/10.1016\/0166-5316(88)90015-6","relation":{},"ISSN":["0166-5316"],"issn-type":[{"value":"0166-5316","type":"print"}],"subject":[],"published":{"date-parts":[[1988,4]]}}}